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Abstract <p>This paper examines an inverse problem of determining the stationary coefficient of the convective term in a parabolic-type equation. As an overdetermination condition, the value of the solution at the final moment of time is specified. To obtain a numerical solution of the finite-difference analogue of the formulated problem, it is proposed to use the secant iterative method. The results of numerical implementation of the proposed computational algorithm are presented for test problems with quasi-solutions.</p>

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Iterative Identification of the Spacewise Coefficient of the Lowest Derivative in a Parabolic Equation

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Vasilii Vasil’ev,
  • Anatoly Kardashevsky,
  • Kristina Kardashevskaia

摘要

Abstract

This paper examines an inverse problem of determining the stationary coefficient of the convective term in a parabolic-type equation. As an overdetermination condition, the value of the solution at the final moment of time is specified. To obtain a numerical solution of the finite-difference analogue of the formulated problem, it is proposed to use the secant iterative method. The results of numerical implementation of the proposed computational algorithm are presented for test problems with quasi-solutions.